Solve for x
x=\frac{9}{y}
y\neq 0
Solve for y
y=\frac{9}{x}
x\neq 0
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4x\times 2y=9\times 8
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 36x, the least common multiple of 9,4x.
8xy=9\times 8
Multiply 4 and 2 to get 8.
8xy=72
Multiply 9 and 8 to get 72.
8yx=72
The equation is in standard form.
\frac{8yx}{8y}=\frac{72}{8y}
Divide both sides by 8y.
x=\frac{72}{8y}
Dividing by 8y undoes the multiplication by 8y.
x=\frac{9}{y}
Divide 72 by 8y.
x=\frac{9}{y}\text{, }x\neq 0
Variable x cannot be equal to 0.
4x\times 2y=9\times 8
Multiply both sides of the equation by 36x, the least common multiple of 9,4x.
8xy=9\times 8
Multiply 4 and 2 to get 8.
8xy=72
Multiply 9 and 8 to get 72.
\frac{8xy}{8x}=\frac{72}{8x}
Divide both sides by 8x.
y=\frac{72}{8x}
Dividing by 8x undoes the multiplication by 8x.
y=\frac{9}{x}
Divide 72 by 8x.
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